Journal of Applied Mathematics

Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations

Dali Zhang, Gongsheng Li, Guangsheng Chi, Xianzheng Jia, and Huiling Li

Full-text: Open access

Abstract

This paper deals with an inverse problem for identifying multiparameters in 1D space fractional advection dispersion equation (FADE) on a finite domain with final observations. The parameters to be identified are the fractional order, the diffusion coefficient, and the average velocity in the FADE. The forward problem is solved by a finite difference scheme, and then an optimal perturbation regularization algorithm is introduced to determine the three parameters simultaneously. Numerical inversions are performed both with the accurate data and noisy data, and several factors having influences on realization of the algorithm are discussed. The inversion solutions are in good approximations to the exact solutions demonstrating the efficiency of the proposed algorithm.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 740385, 14 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1365174334

Digital Object Identifier
doi:10.1155/2012/740385

Mathematical Reviews number (MathSciNet)
MR3005199

Zentralblatt MATH identifier
1264.65118

Citation

Zhang, Dali; Li, Gongsheng; Chi, Guangsheng; Jia, Xianzheng; Li, Huiling. Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations. J. Appl. Math. 2012 (2012), Article ID 740385, 14 pages. doi:10.1155/2012/740385. https://projecteuclid.org/euclid.jam/1365174334


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